Quadratic functions
Graphs and Equations of Quadratic Functions III
Submitted by michaela.bailova on Thu, 07/25/2024 - 18:132010017006
Level:
B
The graph of the function \( f \) is a parabola, vertex of which is \( [-4;0] \) and \( f(2)= 12 \) is given. Find the function \( f \).
\( f(x)=\frac13(x+4)^2 \)
\( f(x)=\frac13(x-4)^2 \)
\( f(x)=-\frac13(x+4)^2 \)
\( f(x)=-\frac13(x-4)^2 \)
2010017005
Level:
B
Let \( f(x)=3x^2 \). Given the graph of the function \( f \) and the graph of a function \( g \) which was obtained as a left shift of the graph of \( f \) (see the picture), choose the function \( g \).
\( g(x) = 3(x+2)^2 \)
\( g(x) = 3(x-2)^2 \)
\( g(x) = 3x^2+3 \)
\( g(x) = 3x^2 +12 \)
2010017004
Level:
B
The graph of the function \( f(x)=3x^2-6x-3\) is a parabola. Which of the following points is the vertex of this parabola?
\( [1;-6] \)
\( [0;-3] \)
\( [1;-8] \)
\( [-1;0] \)
2010017003
Level:
B
Find the maximum value of the quadratic function
\(f(x)= -x^{2} +2x +1\).
\(2\)
\(1\)
The maximum value of the function \(f\) does not exist.
\(0\)